We are given the expression:
√-3 * √-27
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Explaining the concept:
We know that:
√ab = √a * √b
Using this concept, we will simplify the given expression and solve it
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Simplifying the expression:
√-3 * √-27
√(-1*3) * √[(-1)*(3)(3)(3)]
√-1 * √3 * √-1 * √3 * √3 * √3
(√-1 * √-1) * (√3 * √3 * √3 * √3)
(√-1)² * (√3)² * (√3)²
-1 * 3 * 3
-9
Hence, after simplifying the given expression, we get -9